Which relation is a function?


A:{(1, 1), (2, 4), (4,8), (8, 16),
(8,32)}
B: (8, -2) , ( 9, -2) , (10, -2) (11, -2), (12,3)
C: (2,-3), (2,-2), (2,-1), (2,0), (2,1)
D: (9,3) , (9,-3), (16,-4), (25,-5)

The number of hamburgers he could cook is 14 if he chopped 100 potatoes with the machine option (B) is correct.

A mathematical notion called the graph of the best estimate connects points spread throughout a graph.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have shown a graph in the picture that shows the number of hamburgers cooked versus the number of potatoes chopped.

As we can see in the graph,

Number of potatoes chopped = 80

number of hamburgers cooked = 30

Number of potatoes chopped = 90

number of hamburgers cooked = 20

Number of potatoes chopped = 95

number of hamburgers cooked = 10

Number of potatoes chopped = 100

number of hamburgers cooked = 14 (best estimate)

Thus, the number of hamburgers he could cook is 14 if he chopped 100 potatoes with the machine option (B) is correct.

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Answer: To convert a Senary (base 6) number to decimal, we can use the following formula:

Decimal = (5 * 6^4) + (4 * 6^3) + (7 * 6^2) + (2 * 6^1) + (5 * 6^0)

= (5 * 1296) + (4 * 216) + (7 * 36) + (2 * 6) + (5 * 1)

= 6480 + 864 + 252 + 12 + 5

= 7603

So the Senary (base 6) number 54724 is equivalent to the decimal number 7603.

Step-by-step explanation:

The degree of freedom for the f-test for anova in a regression model with 4 predictors and 47 observations is  (4,42)

degree of freedom = (k, n - k - 1)

= (4, 47 - 4 - 1)

= (4, 42).

Any statistical test with an F-distribution for the test statistic under the null hypothesis is known as an F-test. In order to determine which statistical model better represents the population from which the data were sampled, it is most frequently applied when contrasting models that have been fitted to data sets.

Exact "F-tests" are typically required after least squares fitting of the models to the data. In honor of Ronald Fisher, George W. Snedecor came up with the name. In the 1920s, Fisher created the statistic as the variance ratio.

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Answer: x= 2, y= -1/2

Step-by-step explanation:

The value of x is 2 and y is -1/2

equations are  3x-2y=7 --1

                         7x+2y=13 --2

lets  consider  3x-2y=7 as equation 1,

       consider  7x+2y=13 as equation 2

by putting both the equations :-

              3x-2y=7

               7x+2y=13

we get  10x=20

           x=20/10

           x=2

Now by putting the value of x in equation 1;

3(2)-2y=7

6-2y=7

-2y=1

y=-1/2

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y. They are called simultaneous equations because the equations are solved at the same time. Each of these equations on its own could have infinite possible solutions.

algebraic equation, a statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.

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Answer:

7 Centimeters (CM)

Step-by-step explanation:

You want to divide the perimeter by 4 to find the individual lengths. (28/4) Therefore each side of the square is 7cm long.

You are increasing all sides by a scale factor of 3.

This gives each side a length of 21cm

Hope this helped!

Answer:

7ft

Step-by-step explanation:

A square has 4 congruent sides so that means all sides are the same.

28 ÷ 4 = 7

The two triangles are similar If they have the same shape, but their sizes are different.

Similar triangles are triangles that have the same shape, but their sizes may be same or different. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion. The similarity of triangles are denoted by ‘~’ symbol

AA (or AAA) or Angle-Angle Similarity

If any two angles of a triangle are equal to any two angles of another triangle, then those two triangles are similar to each other.

SAS or Side-Angle-Side Similarity

If the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle inscribed between those two sides in both the triangle are equal, then two triangles are said to be similar.

SSS or Side-Side-Side Similarity

If all the three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.

Therefore, two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

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Period of the functions: The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ). The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.

We know that cos (t) is periodic and has a period of 2π.∴ b = 2π∴ The period of the function f(t) =

(7 cos t)² = 2π/b = 2π/2π = 1.

The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ) Hence, the period of the function f(t) =

cos (2φt²/m) is √(4πm/φ).

The function f(t) = (7 cos t)² is a trigonometric function and it is periodic. The period of the function is given by 2π/b where b is the period of cos t. As cos (t) is periodic and has a period of 2π, the period of the function f(t) = (7 cos t)² is 2π/2π = 1. Hence, the period of the function f(t) = (7 cos t)² is 1.The function f(t) = cos (2φt²/m) is also a trigonometric function and is periodic. The period of this function is given by T = √(4πm/φ). Therefore, the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

The period of the function f(t) = (7 cos t)² is 1, and the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

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Answer:

x = 16

Step-by-step explanation:

16 and x have the same length.

Answer:

30%

Step-by-step explanation:

Answer:

i need help please with my maths

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/4

Answer: 0.006 as decimal. 3/500 as fraction.  0.6%

Step-by-step explanation:

Your answer is B, I think.

Answer:

Translation by -4 units on the y-axis, and + 3 units on the x-axis.

Step-by-step explanation:

The answer is C

The question seems to have a typographical error, as the term "ciftiss process" is unclear. If you meant "Cp for this process," then the capability index can be calculated using the provided information of a target value of 1.100 degrees and a standard deviation of 0.010 degrees. However, if you intended to ask about a different process or acronym, please provide further clarification.

The capability index, Cp, is a measure of process capability that compares the width of the process spread to the width of the specification limits. It helps assess whether a process is capable of meeting the desired specifications. Cp is calculated by dividing the tolerance range by six times the standard deviation.

In this case, the question provides a target value of 1.100 degrees and a standard deviation of 0.010 degrees. However, it does not specify the tolerance range or the specification limits of the process. Without the tolerance range, we cannot calculate the exact Cp value.

To calculate the Cp, we need the upper and lower specification limits or the tolerance range. Without this information, we cannot determine the Cp or assess the process capability accurately.

Therefore, without the tolerance range or specification limits, we cannot calculate the capability index Cp or determine the capability of the process. It is essential to have complete information regarding the specification limits to evaluate process capability accurately.

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Answer:

y = \(\frac13\)

Step-by-step explanation:

let the blank be y

3 * y = 1

3y = 1

Now, divide both sides by 3:

3y ÷ 3 = 1 ÷ 3

y = 1/3

-Chetan K

Answer:

Value of the blank (We assumed it as \(x\) while solving) :-

\( \boxed {\tt x = \cfrac{1}{3}} \)

Actual answer :-

\(\boxed{\tt \: 3 \times \boxed{\cfrac{1}{3}} = 1}\)

Step-by-step explanation:

Given equation :-

\(\sf 3 \times ? = 1\)

(Note: I wrote "?" instead of "blank".)

We need to find the value of the blank on this equation.

Solution:-

To solve Further let's us assume that the value of the blank be \(x\).

So, blank = \(x\)

The equation will be . . .

\(\sf \longmapsto3 \times x = 1\)

Let's solve out this equation !

\(\sf \implies3 \times x = 1\)

Multiply 3 and x on the LHS :-

\(\sf \implies3 x = 1\)

Hence the new equation would be 3\(x\)=1.

Now, Divide both sides by 3 :-

\(\sf \implies \: \cfrac{3x}{3} = \cfrac{1}{3} \)

Simplify this equation :-

Cancel 3 and 3 on the LHS, Leave \(x\) . 1/3 can't be cancelled.

\(\sf \implies \: \cfrac{ \cancel3}{ \cancel3x} = \cfrac{1}{3} \)

\(\sf \implies1x = \cfrac{1}{3} \)

As we know that x = 1x So,

\(\sf \implies \: x = \cfrac{1}{3} \)

This equation can't be simplified more.

Hence, the value of \(x\) would be 1/3.

Now,Put the value of \(x\) (1/3) on the given equation:-

\(\sf \implies \: 3 \times \: \cfrac{1}{3} \: = 1\)

We are done !

______________________________________

I hope this helps !

Let me know if you have any questions.

\(\Huge\sf :) \)

The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.

We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.

We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.

Using this in the given triangle KLM, we get:

Area = (1/2)(KL)(KM)(sin K),

or, 400 = (1/2)(KL)(45)(sin 25°),

or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.

Thus, we get KL = 42 yards.

Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.

Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

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Answer: b

Step-by-step explanation:

Answer:  \(g = 6\sqrt{6} \ \ \text{yards}\)

=============================================

Explanation:

When dealing with a 30-60-90 triangle, the short leg x and the long leg y can be tied together using this formula

\(y = x*\sqrt{3}\)

We see that the long leg is exactly \(\sqrt{3}\) times longer than the short leg.

Therefore we can say,

\(y = x*\sqrt{3}\\\\y = 6\sqrt{2}*\sqrt{3}\\\\y = 6\sqrt{2*3}\\\\y = 6\sqrt{6}\\\\g = 6\sqrt{6}\\\\\)

the ant with the highest pheromone value is selected, the new positions are:Ant 1: x = 1.2

Ant 2: x = 2.8Ant 3: x = 2.8

Ant 4: x = 2.

To find the minimum of the function f(x) = x² - 2x - 11 in the range (0, 3) using the Ant Colony Optimization (ACO) method with 4 ants, we can follow these steps:

Step 1: Initialization- Initialize the 4 ants at random positions within the range (0, 3).

- Assign each ant a random pheromone value.

Let's assume the initial positions and pheromone values of the ants are as follows:Ant 1: x = 1.2, pheromone = 0.5

Ant 2: x = 2.1, pheromone = 0.3Ant 3: x = 0.8, pheromone = 0.2

Ant 4: x = 2.8, pheromone = 0.6

Step 2: Evaluation- Calculate the fitness value (objective function) for each ant using the given function f(x).

- Update the minimum fitness value found so far.

Let's calculate the fitness values for each ant:Ant 1: f(1.2) = (1.2)² - 2(1.2) - 11 = -9.04

Ant 2: f(2.1) = (2.1)² - 2(2.1) - 11 = -9.09Ant 3: f(0.8) = (0.8)² - 2(0.8) - 11 = -12.24

Ant 4: f(2.8) = (2.8)² - 2(2.8) - 11 = -6.84

The minimum fitness value found so far is -12.24.

Step 3: Pheromone Update- Update the pheromone value for each ant based on the fitness value and the pheromone evaporation rate.

Let's assume the pheromone evaporation rate is 0.2.

For each ant, the new pheromone value can be calculated using the formula:

newpheromone= (1 - evaporationrate * oldpheromone+ (1 / fitnessvalue

Updating the pheromone values for each ant:Ant 1: newpheromone= (1 - 0.2) * 0.5 + (1 / -9.04) = 0.236

Ant 2: newpheromone= (1 - 0.2) * 0.3 + (1 / -9.09) = 0.167Ant 3: newpheromone= (1 - 0.2) * 0.2 + (1 / -12.24) = 0.135

Ant 4: newpheromone= (1 - 0.2) * 0.6 + (1 / -6.84) = 0.356

Step 4: Update Ant Positions- Update the position of each ant based on the pheromone values.

- Each ant selects a new position probabilistically based on the pheromone values and a random number.

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Answer:

Step-by-step explanation:

Ok:

1. This is a percent problem!

45/100*15=

675/100=

6.75

2. Subtract:

15-6.75=

8.25$

Answer: 8.25$

Solution

y= mx +b

Where y is the temperature and x the latitude

If we fit an equation line we have the following:

A= 119.24

b= -1.070

Then the equation would be:

y= -1.070 x + 119.24

The two linear expressions:

-(3x - 7 - 1/2) and 7.5 - 3x

Are equivalent expressions.

Here we are given two linear expressions:

-(3x - 7 - 1/2)

and:

7.5 - 3x

And we want to see if these are equivalent, to check that, we just need to see if we can rewrite one of the equations into the other.

If we start with the first one:

-(3x - 7 - 1/2)

And we simplify it we will get:

-(3x - 7 - 1/2)

-(3x - 7 - 0.5)

-(3x - 7.5)

Now remember the rule of signs, we can expand the above expression as:

-(3x - 7.5)

-3x + 7.5

This is the other expression, so we conclude that the two linear expressions are equivalent.

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Answer:

2.475

Step-by-step explanation:

12 divide into 29.7 goes 2.475 times

use the illustration from the other example and you should be able to do it

12 into 29 goes twice

subtract 29-24 to get 5

bring down the 7 to get 57

12 into 57 goes four times

57-48 = 9

bring down a zero to get 90

12 into 90 goes seven times

90-84 = 6

12 into 60 is 5

18÷29.70= 0.40

that should be right

Answer:25 I think

Step-by-step explanation:

The theorem that proves that the two triangles are similar is the SAS Similarity Theorem. The theorem states that if two sides of one triangle are proportional to two sides of another triangle, and the included angle between these sides is the same in both triangles, then the two triangles are similar.

In this case, the ratio of the corresponding sides of the two triangles are:

AB/DE = 3/18 = 1/6

BC/EF = 7/42 = 1/6

Since the ratio of corresponding sides is equal, and the included angle between them (angle B and angle E) is the same, the two triangles are similar by the SAS Similarity Theorem.

Answer:

v=Bh

12*8= 96. <---B

2 <----h

v=192

Step-by-step explanation:

I hope that helps

Answer:

HCF 8, 12, 16 = 4

HCF 14, 28 = 14

14 - 4 = 10

The two areas at the end of a normal curve that indicate low probability values if the null hypothesis is true are called the critical region.

Critical region: A set of values for the test statistic for which the null hypothesis is rejected is referred to as a critical region, also known as the rejection region. Specifically, we accept the alternative hypothesis and reject the null hypothesis if the observed test statistic is within the critical region.

The probability of rejecting H0, or the Null Hypothesis, is represented by the alpha level. The critical region is the set of z values on a graph that result in the null hypothesis being rejected.

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